%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET930+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kFmryzILFn true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:53:11 PM UTC 2025
% Result : Theorem 0.54s 0.80s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 28 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 254 ( 36 ~; 22 |; 9 &; 184 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(l39_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( singleton @ A ) )
<=> ( ~ ( in @ A @ C )
& ( ( in @ B @ C )
| ( A = B ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
= ( singleton @ X0 ) )
| ~ ( in @ X1 @ X2 )
| ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X1 @ X0 ) @ X2 )
= ( singleton @ X0 ) )
| ~ ( in @ X1 @ X2 )
| ( in @ X0 @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(t74_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= empty_set )
& ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= ( singleton @ A ) )
& ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= ( singleton @ B ) )
& ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= ( unordered_pair @ A @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= empty_set )
& ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= ( singleton @ A ) )
& ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= ( singleton @ B ) )
& ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
!= ( unordered_pair @ A @ B ) ) ),
inference('cnf.neg',[status(esa)],[t74_zfmisc_1]) ).
thf(zip_derived_cl16,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206,plain,
( ( in @ sk__3 @ sk__4 )
| ~ ( in @ sk__2 @ sk__4 )
| ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl16]) ).
thf(t73_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= empty_set )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
= empty_set )
| ~ ( in @ X1 @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t73_zfmisc_1]) ).
thf(zip_derived_cl18,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129,plain,
( ~ ( in @ sk__2 @ sk__4 )
| ~ ( in @ sk__3 @ sk__4 )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).
thf(zip_derived_cl139,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ~ ( in @ sk__2 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl129]) ).
thf(t72_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( unordered_pair @ A @ B ) )
<=> ( ~ ( in @ A @ C )
& ~ ( in @ B @ C ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
= ( unordered_pair @ X0 @ X1 ) )
| ( in @ X1 @ X2 )
| ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t72_zfmisc_1]) ).
thf(zip_derived_cl15,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( unordered_pair @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
( ( in @ sk__2 @ sk__4 )
| ( in @ sk__3 @ sk__4 )
| ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl15]) ).
thf(zip_derived_cl116,plain,
( ( in @ sk__3 @ sk__4 )
| ( in @ sk__2 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
= ( singleton @ X0 ) )
| ~ ( in @ X1 @ X2 )
| ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
thf(zip_derived_cl17,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77,plain,
( ( in @ sk__2 @ sk__4 )
| ~ ( in @ sk__3 @ sk__4 )
| ( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).
thf(zip_derived_cl85,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( in @ sk__2 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl140,plain,
in @ sk__2 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl85]) ).
thf(zip_derived_cl151,plain,
~ ( in @ sk__3 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl140]) ).
thf(zip_derived_cl140_002,plain,
in @ sk__2 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl85]) ).
thf(zip_derived_cl221,plain,
( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl151,zip_derived_cl140]) ).
thf(zip_derived_cl222,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET930+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kFmryzILFn true
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:11:23 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.19/0.33 % Running in FO mode
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.80 % Solved by fo/fo6_bce.sh.
% 0.54/0.80 % BCE start: 19
% 0.54/0.80 % BCE eliminated: 0
% 0.54/0.80 % PE start: 19
% 0.54/0.80 logic: eq
% 0.54/0.80 % PE eliminated: 1
% 0.54/0.80 % done 66 iterations in 0.052s
% 0.54/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.80 % SZS output start Refutation
% See solution above
% 0.54/0.80
% 0.54/0.80
% 0.54/0.80 % Terminating...
% 0.60/0.92 % Runner terminated.
% 1.97/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------